JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Assertion and Reason

  • question_answer
    Assertion             :       The periodic time of a hard spring is less as compared to that of a soft spring.  Reason                 :       The periodic time depends upon the spring constant, and spring constant is large for hard spring.

    A)             If both assertion and reason are true and the reason is the correct explanation of the assertion.

    B)             If both assertion and reason are true but reason is not the correct explanation of the assertion.

    C)             If assertion is true but reason is false.

    D)             If the assertion and reason both are false.

    E)             If assertion is false but reason is true.

    Correct Answer: A

    Solution :

                       The time period of a oscillating spring is given by,             \[T=2\pi \sqrt{\frac{m}{k}}\]Þ \[T\propto \frac{1}{\sqrt{k}}.\] Since the spring constant is large for hard spring, therefore hard spring has a less periodic time as compared to soft spring.


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